Find the Derivative - d/dx e^(x^3)

Problem

d(e(x3))/d(x)

Solution

1. Identify the outer function and the inner function to apply the Chain Rule. The outer function is eu and the inner function is u=x3

2. Apply the Chain Rule, which states that the derivative of eƒ(x) is eƒ(x) multiplied by the derivative of ƒ(x)

3. Differentiate the inner function x3 using the Power Rule, which gives 3*x2

4. Combine the results to find the final derivative.

Final Answer

d(e(x3))/d(x)=3*x2*e(x3)

Want more problems? Check here!